1. Two right circular cylinders of equal volume have their heights in the ratio 5 : 11. The ratio of their radii is....
2. The base of a right pyramid is a square of side 35 cm long. If the volume of the pyramid is 12250 cm3 then its height (in cm) is:
A) 20 B) 25 C) 35 D) 30
3. The base of a solid right prism is a triangle whose sides are 11 cm, 60 cm and 61 cm. The height of the prism is 20 cm. Then the total surface area of the prism is:
A) 3150 B) 3620 C) 3300 D) 3450
4. Length of the longest rod (in m) that can be placed in a room 42 m long, 37 m broad and 18 m high is....
5. The height of a cylinder is 14 cm. and its curved surface is 4224 cm2. Then the radius of the base is:
A) 48 B) 44 C) 40 D) 52
6. If the radius of a right circular cylinder is decreased by 40% and its height is increased by 80% its volume will be decreased by....
A) 28.8% B) 31.5% C) 35.2% D) 40.8%
7. The slant height of a cone is 68 cm. Its altitude is 60 cm. The total surface area is (approximately)....
A) 12345 B) 10057 C) 12365 D) 11245
8. The volume of a cube is 2197 cm3. The total surface area of the cube is:
A) 1245 B) 1134 C) 974 D) 1014
9. Total surface area of a solid cylinder with a diameter of 32 cm and height 26 cm, is:
A) 4508 B) 4326 C) 4136 D) 4224
10. The lateral surface area of a cylinder is 6160 cm2 and its height is 20 cm. Find its volume.
A) 140536 B) 170896 C) 160308 D) 150920
11. A cinema hall is 75 m long and 40 m wide. What should be the height of the hall to accommodate 600 people if the volume of air required for one person is 80 m3.
A) 17 B) 20 C) 14 D) 16
12. The radius of the base of a cone is 24 m. If the height of the cone is 7 m, what will be the cost of painting the surface area of the cone at Rs.175 per square metre?
A) 4,50,000 B) 3,30,000 C) 2,75,000 D) 4,00,000
13. If the volume of two right circular cones are in the ratio 5 : 2 and their diameter are in the ratio 7 : 5, then the ratio of their heights is:
A) 97 : 47 B) 168 : 121 C) 125 : 98 D) 144 : 77
14. The volume of air in a room is 432 m3. The height of the room is 18 m. What is the floor area of the room?
A) 21 B) 24 C) 32 D) 25
15. 15 metallic spheres each have a radius of 15 cm are melted and formed a metallic cylinder rod with radius 5 cm. What is the height of the cylindrical rod?
A) 2600 B) 2400 C) 2700 D) 2500
16. A prism has a base of a right angled triangle whose sides adjacent to the right angles are 8 cm and 15 cm long. The height of the prism is 30 cm the density of the material of the prism is 10 gm/cubic cm. the weight (inkg) of the prism is?
A) 10 B) 15 C) 18 D) 22
17. A right prism stands on a base of 8 cm side equilateral triangle and its volume is 272Ö ¾3 cm3 the height (in cm) of the prism is....
A) 16 B) 14 C) 17 D) 15
18. If the height of a right circular cone is increased by 400% and the radius of the base is reduced by 60%, then the volume of the cone is...
A) increases by 30% B) decreases by 20% C) decreases by 30% D) increases by 20%
19. A metallic sphere with radius 6 cm and a metallic cone with the same radius and height 12 cm are melted and formed a cylinder with the same radius. Find the height (in cm) of the metallic cylinder.
A) 12.88 B) 12 C) 7.55 D) 10.33
